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arXiv · 1209.5840

Hardy inequalities in Triebel-Lizorkin spaces

Lizaveta Ihnatsyeva·Antti V. Vähäkangas
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Abstract

We prove an inequality of Hardy type for functions in Triebel-Lizorkin spaces. The distance involved is being measured to a given Ahlfors d-regular set in R^n, with n-1<d<n. As an application of the Hardy inequality, we consider boundedness of pointwise multiplication operators, and extension problems.

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Lizaveta Ihnatsyeva, Antti V. Vähäkangas. 2012-09-26. Hardy inequalities in Triebel-Lizorkin spaces. https://arxiv.org/abs/1209.5840

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